Converting 37.736 to a Fraction
Step-by-step explanation of how to convert 37.736 to a fraction
Result
37.736 =
4717
125
Mixed number:
37
92
125
Step 1: Identify the number of decimal places
The decimal 37.736 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
37.736 × 1000 = 37736
Step 3: Write as a fraction
37.736 =
37736
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 37736 and 1000.
GCD(37736, 1000) = 8
Divide both the numerator and denominator by the GCD:
37736
1000
=
37736 ÷ 8
1000 ÷ 8
=
4717
125
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